中文摘要：

两相饱和多孔介质的动力响应问题在地震工程领域具有重要的研究意义,由于涉及到固相和液相的动力耦合,使得该问题的求解尤为复杂。本文利用Comsol在求解多场耦合问题上的优点,针对Biot饱和多孔介质u-U耦合形式下的波动方程特征,经过一系列微分算子运算和矩阵变换得到导数形式下的波动方程,基于Comsol Multiphysics提供的广义偏微分方程模式对变形后的波动方程进行求解,并把改进后的无限元边界应用到无限域动力问题的模拟中。通过与饱和多孔介质动力响应的解析解进行对比,验证模型求解技术的可行性和正确性,并在此基础上讨论饱和土地基中空沟隔振效果与饱和土体参数孔隙率、泊松比的关系。通过研究分析,可以为饱和土地基中空沟隔振设计提供一些有价值的参考。

英文摘要：

The dynamic response of two-phase saturated porous media is of great significance in the field of earthquake engineering. The solution to this problem is complicated due to the dynam- ic coupling between the solid and liquid phases. So, its volatility is very large using general nu- merical software, and the results are generally not ideal. Hence, it greatly hinders the speed of the numerical methods for the study of the two-phase coupling problem. In this paper, the advan- tages of COMSOL in solving the multi-field coupling problem is utilized, to provide the wave equation characteristics of the Biot-saturated porous medium u-U coupled mode, using a series ofdifferential operators and matrix transformation. Then, the wave equation of the derivative is ob rained, based on the generalized partial differential equation model in the COMSOL Multiphysics module to solve the converted wave equation, and the improved infinite element boundary is ap- plied to the simulation of the infinite domain dynamic problem. To prove the scientific nature of this method, the following methods are used to verify the accuracy of the method. By comparing with the analytical solution of the dynamic response of a saturated porous medium, the feasibility and correctness of the proposed model is verified, and based on this method, the relationship be- tween the screening efficiency of the open trenches in the saturated soil foundation and the Pois- son＇s ratio and porosity of the saturated soil are discussed. Through the research and analysis in this paper, the solution to the numerical solution of the dynamic coupling equations of the salu rated porous media is realized, and it can also provide some valuable reference for the design of the open trenches vibration isolation in the saturated soil foundation. On the other hand, it also provides some valuable reference for practical engineering applications.